Real Numbers Test

Result

Real Numbers Test - 18

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following is irrational number?

A
22/7

B
3.1416

C
2.1618

D
3.141141114......

Solution

3.141141114.... is a nonterminating, nonrepeating decimal. So, it is irrational.
Question 2
1 / -0

What is the HCF of smallest prime number and the smallest composite number?

A
3

B
5

C
6

D
2

Solution

Smallest prime number is 2.

Smallest composite number is 4.

Therefore HCF is 2.
Question 3
1 / -0

a and b are two positive integers such that the least prime factor of a is 3 and the least prime factor of b is 5. Then, the least prime factor of (a + b) is

A
2

B
3

C
5

D
8

Solution

Least prime factor being 3 or 5 means that 2 is not a factor.

So the numbers are both odd.

a + b will be even no. as a is odd and b is odd {∵ odd + odd = even}

Least prime factor of an even no is 2.
Question 4
1 / -0

(2 + √2) is

A
An integer

B
A rational number

C
An irrational number

D
None of these

Solution

Sum of a rational and an irrational number is an irrational number.

Here 2 is rational and √2 is irrational. So their sum is irrational.